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MHT-CET 2026 (13 May Shift I), Paper II, Physics & Chemistry question paper

100 questions · 100 marks · 90 minutes · +1 per correct answer, no negative marking

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Physics

50 questions

  1. 1
    The percentage error in the measurement of mass and speed are 2%2\% and 3%3\% respectively. The maximum error in the estimation of kinetic energy is

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  2. 2
    The real force F acting on particle of mass m performing circular motion acts along the radius of circle r and is directed forwards the centre of the circle. The magnitude of square root of such a force is (T = periodic time)

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  3. 3
    A particle is projected from ground with speed u and at an angle θ\theta with horizontal. If at maximum height from ground, the speed of a particle is half times its initial velocity of projection then its maximum height attained is (cos⁡60∘=0.5,sin⁡60∘=3/2)(\cos 60^\circ = 0.5, \sin 60^\circ = \sqrt{3}/2) (g = acceleration due to gravity)

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  4. 4
    A particle moves from position 3i^+2j^−6k^3\hat{i} + 2\hat{j} - 6\hat{k} to 14i^+13j^+9k^14\hat{i} + 13\hat{j} + 9\hat{k} due to uniform force of (4i^+j^+3k^)(4\hat{i} + \hat{j} + 3\hat{k}) N. If displacement is in metre then work done will be

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  5. 5
    A block of mass 'm' collides with another stationary block of mass '2m'. The lighter block comes to rest after collision. If the velocity of the first block is 'V' then the coefficient of restitution is

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  6. 6
    The moment of inertia of two equal masses each of mass m at separation L connected by a rod of mass M about an axis passing through centre and perpendicular to the length of rod is

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  7. 7
    Moment of inertia of a thin uniform rod rotating about the perpendicular axis passing through its centre is I. If the same rod is bent in to a ring and its moment of inertia about its diameter is I1I_1, then the ratio I/I1I/I_1 is

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  8. 8
    If mean radius of earth is 'R', its angular velocity is 'ω\omega' and acceleration due to gravity at the surface of the earth is 'g' then the cube of the radius of the orbit of geostationary satellite will be

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  9. 9
    When a big drop of water is formed from n small drops of water, the energy loss is 3E, where E is the energy of the big drop. If R is the radius of big drop and r is the radius of the smaller drop then number of smaller drops n is

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  10. 10
    When one end of a capillary tube is dipped in water, water rises to a height h. The upward force of 105105 dyne due to surface tension is balanced by the force due to weight of water column. The inner circumference of the capillary is (surface tension of water = 7×10−27 \times 10^{-2} N/m)

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  11. 11
    Two solid spheres of same material but of mass M and 8M fall simultaneously on a viscous liquid and their terminal velocities are V and nV, then the value of n is

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  12. 12
    Heat energy is incident on the surface at the rate of 10001000 J/min. If coefficient of absorption is 0.80.8 and coefficient of reflection is 0.10.1 then heat energy transmitted by the surface in 55 minute is

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  13. 13
    The total radiant energy per unit area normal to the direction of incidence, received at a distance R from the centre of a star of radius r, whose outer surface radiates as a black body at a temperature 'T' K is (σ\sigma = Stefan's constant)

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  14. 14
    Two rods A and B are of equal lengths. Their ends are kept between the same temperatures and their area cross-sections are A1A_1 and A2A_2, thermal conductivities are K1K_1 and K2K_2. The rate of heat transmission in the two rods will be equal if

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  15. 15
    Six moles of oxygen gas is heated from 20∘20^\circC to 35∘35^\circC at constant volume. If specific heat capacity at constant pressure is 8 cal mol−1 k−18\ \mathrm{cal\,mol^{-1}\,k^{-1}} and gas constant is 2 cal mol−1 k−12\ \mathrm{cal\,mol^{-1}\,k^{-1}}. The change in internal energy of the gas is

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  16. 16
    Out of the following relations which one is true in the case of an adiabatic process, where γ=Cp/Cv\gamma = C_p/C_v ?

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  17. 17
    At what temperature, the kinetic energy of a gas molecule is half of the value at 27∘27^\circC ?

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  18. 18
    A particle oscillates simple harmonically along a straight line with period 88 s and amplitude 828\sqrt{2} m. It starts from mean position then the ratio of the distances travelled by it in the 2nd2^{nd} second and the first second of its motion is (sin⁡45∘=12)\left(\sin 45^\circ = \dfrac{1}{\sqrt{2}}\right) (sin⁡90∘=1)(\sin 90^\circ = 1)

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  19. 19
    S1S_1 and S2S_2 are two identical springs. The frequency of oscillation of mass m is F. If one spring is removed, the frequency will become

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  20. 20
    A body has time period T1T_1 under the action of one force and T2T_2 under the action of another force. The square of the time period when both the forces are acting in the same direction is

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  21. 21
    The fundamental frequency of a closed pipe is 400400 Hz. If 13rd\dfrac{1}{3}^{rd} pipe is filled with water then the frequency of 3rd3^{rd} harmonic of the pipe will be (Neglect end correction)

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  22. 22
    A stretched wire of length 110110 cm is divided in to 3 segments whose frequencies are in the ratio 1:2:31 : 2 : 3. Their respective lengths must be

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  23. 23
    Two points on a travelling wave having frequency 500500 Hz and velocity 300300 m/s are 60∘60^\circ out of phase, then the minimum distance between the two points is

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  24. 24
    A whistle sends out 256 waves in a second. If the whistle approaches the observer with velocity (13)rd\left(\dfrac{1}{3}\right)^{rd} of the velocity of sound in air. The number of waves per second observer will receive is

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  25. 25
    Three point charges +q,−2q+q, -2q and −2q-2q are placed at the vertices of an equilateral triangle of side a. The work done by some external force to increase their separation to '2a' will be (K=14πε0)\left(K = \dfrac{1}{4\pi\varepsilon_0}\right)

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  26. 26
    If 100100 J of work has to be done in moving an electric charge of 44 C from a place, where potential is −10-10 V to another place where potential is V volt. The value of V is

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  27. 27
    Two point charges, +2C+2C and +6C+6C repel each other with a force of 1212N. If a charge of (−4C)(-4C) is given to each of these charges, the force now is

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  28. 28
    Find the capacitance of the Parallel plate capacitor shown in the figure. (A = area of each plate, ε0\varepsilon_0 = permittivity of free space)

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  29. 29
    The resistances in two arms of the metre bridge are 5 Ω5\,\Omega and R ΩR\,\Omega respectively, null point is obtained at length l1l_1. When the resistance R is shunted with an equal resistance, the new balance point is at 1.6l11.6l_1. The resistance R is

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  30. 30
    In a potentiometer, the null point is obtained on 7th7^{th} wire. What should we do to change the null point on 9th9^{th} wire by keeping all other quantities same ?

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  31. 31
    Six very long insulated copper wires are bound together to form a cable. The currents carried by the wires are i1=10i_1 = 10A, i2=−13i_2 = -13A, i3=10i_3 = 10A, i4=7i_4 = 7A, i5=−12i_5 = -12A and i6=18i_6 = 18 A. The magnetic induction at a perpendicular distance of 1010 cm from the cable is (μ0=4π×10−7(\mu_0 = 4\pi \times 10^{-7} SI units)

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  32. 32
    An arc of a circle of radius R subtends an angle π/2\pi/2 at the centre. It carries a current I. The magnetic field at the centre will be (μ0\mu_0 = permeability of free space)

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  33. 33
    An iron rod is placed parallel to magnetic field of intensity H. The magnetic flux through the rod is Φ\Phi and its cross-sectional area is A. The magnetic permeability (μ)(\mu) of the rod is

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  34. 34
    An air cored coil has a self inductance of 0.10.1 H. A soft iron core of relative permeability 10001000 is introduced inside cored coil and number of turns reduced to (110)th\left(\dfrac{1}{10}\right)^{th}. The value of self inductance now becomes

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  35. 35
    A circular ring of diameter 2020 cm has a resistance of 0.01 Ω0.01\,\Omega. The charge that will flow through the ring, if it is turned from a position perpendicular to a uniform magnetic field of 22T to a position parallel to the field is (in coulomb) (∵cos⁡0∘=1,cos⁡90∘=0)(\because \cos 0^\circ = 1, \cos 90^\circ = 0)

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  36. 36
    For series LCR circuit, the current is observed to lead the applied voltage. An additional capacitor C1C_1 when joined with capacitor C, makes the power factor of the circuit unity. The capacitor C1C_1 must be connected in

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  37. 37
    What is the value of inductance L for which the current is maximum in series LCR circuit with C=10 μC = 10\ \muF and ω=1000\omega = 1000/s ?

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  38. 38
    In an LCR series circuit, a. c. voltage source is connected in series. When L is removed from the circuit, the phase difference between the voltage and the current is π/3\pi/3. If instead C is removed, the phase difference is again π/3\pi/3. The power factor of the circuit is (tan⁡π3=3)\left(\tan\dfrac{\pi}{3} = \sqrt{3}\right)

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  39. 39
    A transformer having efficiency 90%90\% is working on 200200 V and 33 KW power supply. If the current in the secondary coil is 6A, the voltage across the secondary coil and the current in the primary coil, respectively, are

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  40. 40
    Three immiscible transparent liquids with refractive indices 32,43\dfrac{3}{2}, \dfrac{4}{3} and 65\dfrac{6}{5} are arranged one above the other. The depths of the liquids are 3 cm, 4 cm and 6 cm respectively. The apparent depth of the vessel is

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  41. 41
    In Young's double slit experiment, the slit width is 11 mm and screen is at a distance 22 m from slits. Light of 600600 nm is used. If a thin glass plate of refractive index 1.51.5 of thickness 0.060.06 mm is placed over one of the slits then there will be a lateral displacement of the fringes by

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  42. 42
    The ratio of intensity at the centre of a bright fringe to the intensity at a point distant (14)th\left(\dfrac{1}{4}\right)^{th} of the distance between two successive bright fringes will be (cos⁡0∘=1,cos⁡90∘=0)(\cos 0^\circ = 1, \cos 90^\circ = 0)

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  43. 43
    The wavelength of light used in Young's double slit experiment, is λ\lambda. The intensity at a point on the screen is I, where the path difference is λ6\dfrac{\lambda}{6}. If I0I_0 is the maximum intensity then the ratio I to I0I_0 is (cos⁡30∘=32)\left(\cos 30^\circ = \dfrac{\sqrt{3}}{2}\right)

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  44. 44
    A parallel beam of light is incident normally on a plane surface absorbing 40%40\% of light and reflecting the rest. If the incident beam carries 6060 W of power the force exerted by it on the surface is (C = velocity of light = 3×1083 \times 10^8 m/s )

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  45. 45
    The frequency of the incident light falling on a photosensitive metal plate is doubled, the kinetic energy of the emitted photoelectrons is

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  46. 46
    The ratio of minimum wavelengths of Lyman and Balmer series will be

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  47. 47
    Using Bohr's quantisation condition, what is the rotational kinetic energy in the second orbit for a diatomic molecule (I = moment of inertia of diatomic molecule, h = Planck's constant)

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  48. 48
    In common emitter amplifier, using output resistance 5000 Ω5000\,\Omega and input resistance 2000 Ω2000\,\Omega, if the peak value of input signal voltage is 1010 mV and β=50\beta = 50, then peak value of output voltage is

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  49. 49
    An n-p-n transistor can be considered to be equivalent to two diodes connected. Which one of the following figure is correct?

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  50. 50
    There is no hole current in good conductors because they

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Chemistry

50 questions

  1. 51
    Calculate the number of molecules in 22 mol of MgO.

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  2. 52
    The number of unpaired electrons in Cu+2\mathrm{Cu^{+2}} and Fe+3\mathrm{Fe^{+3}} respectively are-

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  3. 53
    What is the shape of ClF3\mathrm{ClF_3} according to VSEPR theory ?

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  4. 54
    A sample of nitrogen gas occupies a volume of 320 cm3320\ \mathrm{cm^3} at STP. Calculate its volume at 66 ∘66\ ^\circC and 0.8250.825 bar pressure

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  5. 55
    11 mole of an ideal gas expands isothermally and reversibly from an initial volume of 1010 L to a final volume of 2020 L at 300300K. Calculate the work done in expanding the gas. ( R = 8.314 J K−1 mol−18.314\ \mathrm{J\,K^{-1}\,mol^{-1}} )

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  6. 56
    Calculate the change in internal energy of the system if 4040 kJ of work is done by the system, and it absorbs 2020 kJ of heat

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  7. 57
    Which of the following is an extensive property?

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  8. 58
    A weak monobasic acid is 18 %18\ \% dissociated in 0.050.05 M solution. Calculate the concentration of solution if it is 10 %10\ \% dissociated .

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  9. 59
    The solubility product of sparingly soluble salt BA at 25 ∘25\ ^\circC is 6.0×10−136.0 \times 10^{-13}. What is the solubility of it?

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  10. 60
    Identify conjugate bases of HCO3−\mathrm{HCO_3^-} and HS−\mathrm{HS^-} respectively.

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  11. 61
    Find the oxidation number of S in Marshall's acid.

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  12. 62
    Which of the following compounds has a nitrogen atom with two different oxidation states?

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  13. 63
    Which of the following metals does not form MH2\mathrm{MH_2} type hydride when heated with hydrogen under normal conditions?

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  14. 64
    Which of the following is gamma isomer of BHC ?

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  15. 65
    How can you identify the presence of halogen in given haloalkane?

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  16. 66
    Which of the following effects involves the delocalization of pi electrons in a molecule?

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  17. 67
    Identify the product when but-2-yne is treated with H2\mathrm{H_2} gas in the presence of Lindlar's catalyst.

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  18. 68
    What type of unit cell is formed by silver?

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  19. 69
    Calculate the number of atoms in 0.60.6 g metal that forms bcc structure having density 8.5 g cm−38.5\ \mathrm{g\,cm^{-3}}, if the volume of unit cell is 3.6×10−23 cm33.6 \times 10^{-23}\ \mathrm{cm^3}

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  20. 70
    A compound is formed by two elements X and Y, atoms of the element Y as anion make ccp and those of the element X as cation occupy all the octahedral voids. What is the formula of the compound ?

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  21. 71
    A 0.10.1 molal aqueous solution of K3[Fe(CN)6]\mathrm{K_3[Fe(CN)_6]} freezes at −0.85 ∘-0.85\ ^\circC. If KfK_f for water is 1.86 K kg mol−11.86\ \mathrm{K\,kg\,mol^{-1}}, what is the van't Hoff factor for this solution?

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  22. 72
    What is the molar mass of a solute when a solution is prepared by dissolving 0.80.8 g of solute in 0.3 dm30.3\ \mathrm{dm^3} of water having osmotic pressure 0.20.2 atm at 300300 K (R = 0.082 atm dm3 K−1 mol−10.082\ \mathrm{atm\,dm^3\,K^{-1}\,mol^{-1}})

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  23. 73
    If ΔTb\Delta T_b of 0.50.5 m urea solution is x 0x\ ^0C find the expected value of ΔTb\Delta T_b for 0.50.5 m Al2(SO4)3\mathrm{Al_2(SO_4)_3}

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  24. 74
    The standard EMF of the cell, Ni | Ni2+\mathrm{Ni^{2+}} || Cu2+\mathrm{Cu^{2+}} | Cu is 0.590.59 Volt. The standard reduction potential of a copper electrode is 0.340.34 volt. What is the standard electrode potential of nickel electrode ?

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  25. 75
    Which of the following statements is NOT true about electrolysis of aqueous sodium chloride ?

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  26. 76
    The rate of reaction, A+B→CA + B \rightarrow C is 3.6×10−2 mol dm−3 s−13.6 \times 10^{-2}\ \mathrm{mol\,dm^{-3}\,s^{-1}} when [A]=[B]=0.2 mol dm−3[A] = [B] = 0.2\ \mathrm{mol\,dm^{-3}}. Calculate the rate constant if the reaction is first order in A and second order in B.

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  27. 77
    The rate constant for a first order reaction is 4.606×10−3 s−14.606 \times 10^{-3}\ \mathrm{s^{-1}}. Calculate the time required to reduce 2.02.0 g of the reactant to 0.20.2 g .

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  28. 78
    Which of the following statements is correct regarding the rate of reaction?

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  29. 79
    Which of the following is the correct Arrhenius equation expressing the effect of temperature on the rate constant of a reaction?

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  30. 80
    The phenomenon in which adsorption and absorption take place simultaneously is called

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  31. 81
    Identify the Chlorous acid from the following.

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  32. 82
    Which of the following 3d transition metal ions in its respective oxidation state forms a colorless compound ?

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  33. 83
    Which of the following properties do the lanthanoides and actinoides resemble?

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  34. 84
    What is the effective atomic number of metal ion in the complex [Pd(NH3)6]4+[\mathrm{Pd(NH_3)_6}]^{4+} ?

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  35. 85
    Which of the following is a hexadentate ligand?

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  36. 86
    What is the major product of the reaction of (CH3)3C−Br\mathrm{(CH_3)_3C{-}Br} with CH3ONa\mathrm{CH_3ONa} ?

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  37. 87
    Which of the following compounds is obtained when potassium cyanide reacts with alkyl halide?

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  38. 88
    Which of the following compounds is NOT a dihydric phenol?

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  39. 89
    Which of the following is trihydric phenol?

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  40. 90
    Which of the following carbonyl compounds is most reactive toward nucleophilic addition?

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  41. 91
    Identify the product obtained when benzaldehyde is oxidized by KMnO4\mathrm{KMnO_4}.

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  42. 92
    Which of the following has a higher acidic character than benzoic acid?

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  43. 93
    Which of the following set of conditions is used to convert acetamide into ethyl amine ?

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  44. 94
    Which of the following types of reactions converts acetamide into methyl amine?

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  45. 95
    How many subunits are held together to form the three-dimensional shape of hemoglobin?

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  46. 96
    Which of the following forms regarding the structure of a DNA molecule is true?

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  47. 97
    Which polymer is known as teflon?

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  48. 98
    Which of the following is used to make paints and lacquers ?

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  49. 99
    Identify the property of dichlorodiphenyltrichloroethane.

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  50. 100
    Identify the correct structure of chloroxylenol.

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